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Finding the Fourth Proportional to 516,057.68, 712,206.60 and 301,301.84

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Solution

The fourth proportional to 516,057.68, 712,206.60 and 301,301.84 is: 415,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,057.68 : 712,206.60 = 301,301.84 : x
  2. Step 2: Convert to fraction form
    516,057.68/712,206.60 = 301,301.84/x
  3. Step 3: Cross multiply
    516,057.68x = 712,206.60 × 301,301.84
  4. Step 4: Simplify right side
    516,057.68x = 214,589,159,040.14
  5. Step 5: Solve for x
    x = 214,589,159,040.14/516,057.68
  6. Step 6: Final answer
    x = 415,823.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.